摘要
以弹性理论为基础,建立考虑非局部效应和轴向非线性伸长的两端固支纳米梁物理模型,推导其动力学方程,计算得到考虑非局部效应和轴向非线性纳米梁的固有频率,研究考虑非局部效应的纳米梁主谐波共振响应。数值结果表明,非局部效应对两端固支纳米梁固有频率和幅频关系均有影响。
Non-linear vibrational characteristics of a nano-beam were studied taking the non-local effect into account. The physical model was built based on the continue body theory and the effect of axial elongation for the nano-beam. The dynamic equations were derived based on the non-local effect. The natural frequencies were obtained and the principal resonance was studied considering non-local effect and axial nonlinear elongation. The numerical results showed that the non-local effect has effects on both the natural frequencies and the relationship between frequency and amplitude.
出处
《振动与冲击》
EI
CSCD
北大核心
2013年第4期158-162,共5页
Journal of Vibration and Shock
基金
长江学者和创新团队发展计划资助(IRT0968)
博士后基金(2012M521082)
关键词
非局部效应
纳米梁
非线性模型
多尺度
non-local elastic effect
nano-beam
non-linear model
multi-scale
